Atkin-Lehner |
2- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
85544b |
Isogeny class |
Conductor |
85544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
228631053568 = 28 · 176 · 37 |
Discriminant |
Eigenvalues |
2- 1 0 3 3 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9633,359987] |
[a1,a2,a3,a4,a6] |
j |
16000000/37 |
j-invariant |
L |
3.9812420949101 |
L(r)(E,1)/r! |
Ω |
0.99531051758496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
296b1 |
Quadratic twists by: 17 |